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Finding the Fourth Proportional to 17,296.86, 23,866.50 and 9,741.57

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Solution

The fourth proportional to 17,296.86, 23,866.50 and 9,741.57 is: 13,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.86 : 23,866.50 = 9,741.57 : x
  2. Step 2: Convert to fraction form
    17,296.86/23,866.50 = 9,741.57/x
  3. Step 3: Cross multiply
    17,296.86x = 23,866.50 × 9,741.57
  4. Step 4: Simplify right side
    17,296.86x = 232,497,274.01
  5. Step 5: Solve for x
    x = 232,497,274.01/17,296.86
  6. Step 6: Final answer
    x = 13,441.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.